Theorems · Theorem · general topology
Filter.EventuallyEq.mul
∀ {α : Type u} {β : Type v} [inst : Mul β] {f f' g g' : α → β} {l : Filter α},
f =ᶠ[l] g → f' =ᶠ[l] g' → f * f' =ᶠ[l] g * g'- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- Mul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement and proof · cited by 8,121
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.EventuallyEq.comp₂proof · cited by 15
Cited by14
Results whose statement or proof uses this declaration.
- MeasureTheory.AEStronglyMeasurable.mulproof · cited by 19
- integrableOn_mul_sum_Iccproof · cited by 3
- fourierCoeff_toLpproof · cited by 2
- ProbabilityTheory.lintegral_mul_eq_lintegral_mul_lintegral_of_indepFun'proof · cited by 2
- ProbabilityTheory.condVar_of_ae_eq_zero_or_oneproof · cited by 1
- UnitAddTorus.mFourierCoeff_toLpproof · cited by 1
- Asymptotics.SuperpolynomialDecay.congr'proof · cited by 1
- Filter.EventuallyEq.fun_mulproof · cited by 1
- MeasureTheory.AEEqFun.coeFn_finsetProdproof · cited by 1
- ENNReal.lintegral_mul_eq_zero_of_lintegral_rpow_eq_zeroproof · cited by 1
- ArithmeticFunction.isMultiplicative_eulerProductproof · cited by 0
- MeasureTheory.AEFinStronglyMeasurable.mulproof · cited by 0